Question

Hank enjoys hiking along the river. There are three trails close to his house to choose from. Trail A is 6/15 miles long. Trail B is 6 1/5 miles. Trail C is 6 2/3 miles.
Which list has the trails in order from longest to shortest? (1 point)
O B, A, C
• A, B, C
O C, A, B
O C, B, A

Answer 1

To compare the length of the trails, let's first convert all the distances to improper fractions:

1. **Trail A:**
\[
\text{Length} = \frac{6}{15} = \frac{2}{5} \text{ miles (after simplifying)}
\]

2. **Trail B:**
\[
\text{Length} = 6 \frac{1}{5} = \frac{31}{5} \text{ miles (converting to an improper fraction)}
\]

3. **Trail C:**
\[
\text{Length} = 6 \frac{2}{3} = \frac{20}{3} \text{ miles (converting to an improper fraction)}
\]

Now we can compare the lengths of the trails:

- For Trail A, we have \(\frac{2}{5} \approx 0.4\).
- For Trail B, we have \(6.2 \, (\frac{31}{5} = 6.2)\).
- For Trail C, we have \(6.67 \, (\frac{20}{3} \approx 6.67)\).

Now let’s arrange these from longest to shortest:

1. **Trail C:** \(\approx 6.67\) miles
2. **Trail B:** \(6.2\) miles
3. **Trail A:** \(\approx 0.4\) miles

Thus, the list of trails from longest to shortest is **C, B, A**. Since this option isn't provided in the choices, let’s check which options fit this order.

The correct list of trails in order from longest to shortest is:
- Trail C, Trail B, Trail A

Given the provided choices, none of them actually match the correct order we've derived. If I were forced to choose an answer based on the closest alignment, I would suggest **C, B, A** is accurate as per our calculations, but this option isn't stated.

Please verify if there's an option provided that closely relates to this order.